Sample Quizzes For Preparation: Momentum
AS Level Mathematics – Topic 4.3: Momentum Quiz
Topic: Momentum
1. Which of the following quantities is a vector?
A. Speed
B. Mass
C. Momentum
D. Distance
2. The momentum of a body is defined as:
A. Force × distance
B. Mass × velocity
C. Mass × acceleration
D. Mass × speed
3. SI unit of momentum is:
A. N·m
B. kg·m²/s²
C. kg·m/s
D. m/s²
4. A car of mass 800 kg is moving with a velocity of 10 m/s. What is its momentum?
A. 8000 kg·m/s
B. 80 kg·m/s
C. 0.0125 kg·m/s
D. 800 kg·m/s
5. Which of the following best explains why momentum is conserved in an isolated system?
A. No energy is lost
B. No net external force acts
C. Friction is present
D. The system is open
6. A ball of mass 0.5 kg moving at 4 m/s collides with a wall and rebounds at 3 m/s. What is the change in momentum?
A. 0.5 kg·m/s
B. 3.5 kg·m/s
C. 2.0 kg·m/s
D. –3.5 kg·m/s
7. Two trolleys, one stationary and one moving, collide and move together. This is an example of:
A. Elastic collision
B. Inelastic collision
C. Explosion
D. Static equilibrium
8. In a perfectly inelastic collision:
A. Kinetic energy is conserved
B. Momentum is not conserved
C. Objects stick together after collision
D. Total energy is lost
9. Which of the following statements is true in all collisions (elastic and inelastic)?
A. Total kinetic energy is conserved
B. Momentum is conserved
C. Velocity is always conserved
D. Impulse is zero
10. A 2 kg ball moving at 5 m/s collides head-on with a 3 kg ball moving at 2 m/s in the opposite direction. What is the total initial momentum?
A. 4 kg·m/s
B. 10 kg·m/s
C. 1 kg·m/s
D. –1 kg·m/s
11. A 4 kg object moving at 3 m/s hits a stationary 2 kg object and sticks to it. What is their final velocity after collision?
A. 1 m/s
B. 2 m/s
C. 4 m/s
D. 3 m/s
12. A 1.5 kg trolley collides elastically with a 2 kg trolley at rest. Which of the following is conserved?
A. Only kinetic energy
B. Only momentum
C. Momentum and kinetic energy
D. Neither
13. What is the momentum of a 500 g object moving at 20 m/s?
A. 10 kg·m/s
B. 1 kg·m/s
C. 0.25 kg·m/s
D. 1000 kg·m/s
14. Which of the following does NOT affect the momentum of an object?
A. Speed
B. Mass
C. Temperature
D. Velocity
15. Two identical trolleys approach each other with equal speed and collide elastically. What happens after the collision?
A. They both stop
B. They stick together
C. They reverse directions
D. One stops, the other moves forward
16. What happens to the total momentum of a system if an external force acts on it?
A. It remains constant
B. It increases
C. It decreases
D. It changes
17. A rocket moves in space by:
A. Expelling air
B. Creating friction
C. Conservation of momentum
D. Earth’s gravity
18. An object with zero velocity must have:
A. Zero momentum
B. Zero mass
C. High energy
D. Maximum momentum
19. Which of the following graphs represents constant momentum?
A. Force vs. time
B. Mass vs. velocity
C. Velocity vs. time (horizontal line)
D. Position vs. time
20. A bullet of mass 0.01 kg is fired from a gun of mass 1.5 kg. If bullet’s velocity is 400 m/s, what is recoil velocity of gun?
A. –4 m/s
B. –2.67 m/s
C. –0.4 m/s
D. –5.33 m/s
21. Which physical quantity has the same units as momentum?
A. Work
B. Impulse
C. Pressure
D. Power
22. In a closed system, when a moving object explodes into two parts:
A. Momentum is not conserved
B. Each part gains energy
C. Total momentum is conserved
D. Both parts move in same direction
23. What is the direction of momentum vector?
A. Always opposite to motion
B. Same as direction of velocity
C. Same as direction of force
D. Same as direction of acceleration
24. In one-dimensional motion, the sign of momentum indicates:
A. Kinetic energy
B. Speed
C. Direction
D. Time
25. Two particles collide and move in opposite directions after collision. Which of the following must be true?
A. Kinetic energy is conserved
B. Net momentum is zero
C. Total momentum is conserved
D. Velocities are equal
26. A 5 kg object falls from 10 m height. Just before hitting the ground, its momentum is closest to:
A. 14 kg·m/s
B. 100 kg·m/s
C. 0 kg·m/s
D. 60 kg·m/s
27. What is the significance of a zero net external force in a system?
A. Momentum is conserved
B. No motion occurs
C. Energy is zero
D. Mass is constant
28. The greater the force applied on an object for a given time, the greater the:
A. Displacement
B. Speed
C. Impulse
D. Acceleration only
29. In a system where two bodies collide and stick together, the total kinetic energy:
A. Increases
B. Is conserved
C. Decreases
D. Becomes infinite
30. Momentum is conserved when:
A. Energy is lost
B. No external force acts
C. Gravity acts downward
D. The system is moving in a circle
Answer Key and Explanations
- C — Momentum is a vector; it has both magnitude and direction.
- B — Momentum = mass × velocity.
- C — kg·m/s is the SI unit for momentum.
- A — 800 × 10 = 8000 kg·m/s.
- B — No net external force → conservation of momentum.
- D — ∆p = m(v_final – v_initial) = 0.5(–3 – 4) = –3.5 kg·m/s.
- B — Bodies stick → inelastic.
- C — Inelastic → stick together.
- B — Momentum is always conserved in collisions.
- D — (2×5) + (3×–2) = 10 – 6 = 4 kg·m/s.
- B — Use conservation: 4×3 = 6v → v = 2 m/s.
- C — Both are conserved in elastic collisions.
- A — 0.5 kg × 20 m/s = 10 kg·m/s.
- C — Temperature does not affect momentum.
- C — Perfect elastic with same mass → exchange velocities.
- D — External force changes momentum.
- C — Rocket propulsion = conservation of momentum.
- A — p = mv → if v = 0, p = 0.
- B — Mass × velocity constant → straight line in m vs. v graph.
- B — Total momentum = 0 → 0.01×400 = –1.5×v → v = –2.67 m/s.
- B — Impulse = ∆momentum → same units.
- C — Explosion in isolated system → total momentum conserved.
- B — p = mv → same direction as velocity.
- C — Positive or negative → indicates direction.
- C — Regardless of motion, momentum conserved.
- B — v = √(2gh) = 14 m/s → p = 5×14 = 70 kg·m/s.
- A — No external force → momentum conserved.
- C — Impulse = F × t.
- C — Some KE lost to sound, deformation, etc.
- B — Conservation only if no external force.